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MySQL 5 introduces precision math, that is, numeric value handling that results in more accurate results and more control over invalid values than in earlier versions of MySQL. Precision math is based on two implementation changes:
The introduction of new SQL modes in MySQL 5.0.2 that control how strict the server is about accepting or rejecting invalid data.
The introduction in MySQL 5.0.3 of a library for fixed-point arithmetic.
These changes have several implications for numeric operations:
More precise calculations.
For exact-value numbers, calculations do not introduce floating-point error. Instead, exact precision is used. For example, a number such as .0001 is treated as an exact value rather than as an approximate value, and summing it 10,000 times produces a result of 1, not a value "close" to 1.
Well-defined rounding behavior.
For the exact-value numbers, the result of ROUND()
depends on its argument, not on factors such as how the underlying C
library works.
Improved platform independence.
Operations on exact numeric values are the same across different platforms such as Windows and Unix.
Control over invalid value handling.
Overflow and division by zero are detectable and can be treated as
errors. For example, you can treat a value that is too large for a
column as an error rather than having the value truncated to lie
within the range of the column's data type. Similarly, you can treat
division by zero as an error rather than as an operation that
produces a result of NULL. The choice of which
approach to take is determined by the setting of the
sql_mode system variable.
An important result of these changes is that MySQL provides improved compliance with standard SQL.
The following discussion covers several aspects of how precision math works (including possible incompatibilities with older applications). At the end, some examples are given that demonstrate how MySQL 5 handles numeric operations more precisely than before.
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